Ramirez Savage
09/13/2024 · Junior High School
Rationalizing the denominator and simplifying \( \frac{a-b}{\sqrt{a}-\sqrt{b}} \), one gets? \( \begin{array}{lllll}\text { (a) } \sqrt{a+b} & \text { (b) } \sqrt{a}-\sqrt{b} & \text { (c) } \sqrt{a} & \text { (d) } \sqrt{a}+\sqrt{b}\end{array} \) The nature of the roots of the quadratic equation \( 2-3 x^{2}=0 \) is. \( \begin{array}{llll}\text { (a) One real root } & \text { (b) Non real roots } & \text { (c) No roots } & \text { (d) Two real roots. }\end{array} \)
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1. The simplified expression is \( \sqrt{a} + \sqrt{b} \).
2. The nature of the roots of the quadratic equation is two real roots.
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